The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  2  0  1  2  8  1  1  4  1  2  1  2  1  1  4  2  2  2  0  2  1
 0  2  0 14  4  6 12  2  0  6  8  6  2 10 14  2  4 14  2 12 10  6  2 14  8  8 12  8  6  2 12  0
 0  0 12  4  4  0  0  4  0  8 12  0  0  8  4 12  4  4 12  8  0  8 12 12 12  4 12  4  8  8  0  0
 0  0  0  8  0  0  0  0  8  8  8  8  0  8  0  0  0  0  8  8  0  0  0  8  0  8  0  8  8  0  0  0
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  8  0  8  8  8  8  0  0  0  0  8  0  0  8  8  0  8  0
 0  0  0  0  0  8  0  0  0  8  0  0  0  0  8  8  8  8  0  0  8  0  8  0  8  8  0  8  8  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  8  8  0  0  8  8  0  0  0  8  0  8  0  0
 0  0  0  0  0  0  0  8  8  8  8  8  0  8  0  0  8  8  0  0  8  8  8  0  0  8  0  0  0  0  8  8

generates a code of length 32 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+38x^24+68x^25+176x^26+240x^27+653x^28+854x^29+2114x^30+2406x^31+3235x^32+2446x^33+2168x^34+870x^35+630x^36+210x^37+140x^38+66x^39+46x^40+6x^41+8x^42+2x^43+5x^44+2x^46

The gray image is a code over GF(2) with n=256, k=14 and d=96.
This code was found by Heurico 1.16 in 2.04 seconds.